Pith Number

pith:3RIO6KYA

pith:2012:3RIO6KYAL7AYKCSROVZ667X4Q3

not attested not anchored not stored refs pending

Automorphism groups of graphs

Ashwin Ganesan

arxiv:1206.6279 v1 · 2012-06-26 · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RIO6KYAL7AYKCSROVZ667X4Q3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:52:27.148740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc50ef2b005fc1850a517573ef7efc86cf132bd7615f8008e0f547e352a60c03

Aliases

arxiv: 1206.6279 · arxiv_version: 1206.6279v1 · doi: 10.48550/arxiv.1206.6279 · pith_short_12: 3RIO6KYAL7AY · pith_short_16: 3RIO6KYAL7AYKCSR · pith_short_8: 3RIO6KYA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3RIO6KYAL7AYKCSROVZ667X4Q3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: dc50ef2b005fc1850a517573ef7efc86cf132bd7615f8008e0f547e352a60c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d62528717beb89926925f901e56445d0ee4c3d0d7e59938a8de4a51a05b1f5b6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-06-26T16:55:24Z",
    "title_canon_sha256": "8f20de61da93f0b1d19ccf789864e24a97859bff52855927f7200dacadfab869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6279",
    "kind": "arxiv",
    "version": 1
  }
}